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Finding the Third Proportional to 561,453,758 and 1,252,003,930

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Solution

The third proportional to 561,453,758 and 1,252,003,930 is: 2,791,884,137.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,453,758 : 1,252,003,930 = 1,252,003,930 : x
  2. Step 2: Convert to fraction form
    561,453,758/1,252,003,930 = 1,252,003,930/x
  3. Step 3: Cross multiply
    561,453,758x = 1,252,003,930 × 1,252,003,930
  4. Step 4: Simplify right side
    561,453,758x = 1,567,513,840,735,444,992
  5. Step 5: Solve for x
    x = 1,567,513,840,735,444,992/561,453,758
  6. Step 6: Final answer
    x = 2,791,884,137.21

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.